Let L₁ be the line passing through the point P₁(-5, -1, -3) with direction vector d=[3, 2, 1]T, and let L₂ be the line passing through the point P₂(1, 2, 1) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q₂)=d. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q2 = (0, 0, 0)

Let L₁ be the line passing through the point P₁(-5, -1, -3) with direction vector d=[3, 2, 1]T, and let L₂ be the line passing through the point P₂(1, 2, 1) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q₁ on L₁ and a point Q₂ on L₂ so that d(Q1,Q₂)=d. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q2 = (0, 0, 0)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 18EQ

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